a) I=f dk 1 e*-e* b) l=S e 4 Vx*-4 2 c) I=S d V16+x°

Q: Evaluate the line integral ſc 2y dx + 6x dy where C is the straight line path from (4, 1) to (6, 5).…

A: Given query is to find the integral.

Q: dt 34. tan t/4 – sin² t dy - Vy dy 35. 36. yV3 + (In y)? x² 1 38. dx 4х + 5 37. :dx /x² + 2x + 5…

A: 34) Solve the integration:

Q: Compute DF(, ) of F(1, y) = (e" cos(ry), r² + y) %3D

A: Given function is F(x,y)=eycos(xy), x2+y Let  f1(x, y)=eycos(xy)f2(x, y)=x2+y

Q: dz Find when u= 0, v= 1 if z= sin(xy) + ysin(x), x = uv, y3Du² +v?. du

A: Given  z = sin(xy) +ysin(x)              x = uv and y = u2 + v2  Substituting x and y in z we have…

Q: S = In sec 3x| + C 13. z sec² 3x dz %3D 3 - tag 3z,- å

A:

Q: (b) u = Vt² + 2vt3 - 1 tan I (d) y = sec I VE-1 (f) y = VI+1

A: Since you have asked multiple subpart, as per our guidelines we are supposed to answer only first 3…

Q: The value of the line integral S(2xy dx + 2x?ydy + dz) C along a path joining the origin and the…

A: We have to find the value of given line integral.

Q: Ir 9- ((2, y) | 2553,1SyS 3): D then: dz dy = %3D

A: Given D={(x,y)|2<=x<=3,1<=y<=3}

Q: can you help me step by step please

A: Here the given function is s(t) and differentiates it with respect to t.

Q: (a) i. Find Re{sec (x + iy)}.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Para cierto experimento un se E1 xi = = 22414 331.3, E1 yi = 1673.5 y E1*iYi i=1 Calcula la…

A: Covariance measure the strength of the relation between the two random variables. Given:…

Q: 12. Calculate the area and volume of a sphere knowing that the length of its equator is L = 12p cm.

A:

Q: What is P,(y) if the given DE is xydx – (3y – x²)dy = 0? %3D Select the correct response:

A:

Q: (b) Calculate fe" con(r2) dz using integration by parts as many times as necessary.

A:

Q: A=LDU where D-) then the humber of special solubion s bo Ax =0 is equal a-1/b.e/c.2/d.camt be deubie…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

A:

Q: 4. The square STUV has diagonals that intersect at point W, where SU = 4x + 26 and TW = 8x- 41. Find…

A:

Q: Compute yarctar y? = 1 – 1+ y? ctan(y)dy. Hint: Note that 1+ y? fractan(g)dy- +C

A: we have to comloute the integral ∫ y tan-1 (y) dy we solve this integral by integration by parts…

Q: Reverse order, then integrate SaE ) dydx. Vx \1+

A:

Q: If x,+iy,=x,+iy2 then x=y, %3D

A: TRUE for part (1) It is given that x1+iy1=x2+iy2. x1+iy1 and x2+iy2 are complex numbers Two complex…

Q: Evnlunte: (а) (- xy) dydx (b) dr(x-) dy, where y, = Va? - x?

A:

Q: This question is from partial differential equation please sir g give me answer immediately

A:

Q: -s Jatx? 3. 4-/ sinx coss dx |

A:

Q: Solve Ut = Urx, x > 0, t> 0, u (x, 0) = f (x), u (0, t) = 0.

A: Given partial differential equation isut=uxx,     x>0,     t>0ux, 0=fxu0, t=0

Q: The value of the line integral S(2xy² dx + 2x?ydy + dz) along a path joining the origin and the…

A: To find the value of line integral  ∫c(2xy2dx+2x2ydy+dz)along the path joining origin and point…

Q: 23 { , si (x, y) # (0,0) b) g(x, y) = 2x2 + y² , si (x, y) = (0, 0)

A:

Q: Ex. Show that V1 = 3i + 7j & V2 =i++1)j a %3D %3D are equal ?

A: Simple vector problem...

Q: 8. % = () Given that u = and w = calculate the values of x and y if 2u = v - w. %3D

A:

Q: Prove that c?p?-(jx² + jy²+jz³) is the invariant quantity equal to c?po?.

A: Consider the provided question,   Prove that c2ρ2-jx2+jy2+jz2 is the invariant quantity equal to…

Q: a) If W =(x,y), where x v²-g' and y 2vg calculate W+ %3D

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: ∫C  z2 / (z2 + 4) dz with C defined as z(t) = 2i + 2eit and 0 ≤ t ≤ 2π

A:

Q: Find the par ticular solution of the differencial 4. given x=0 and y= eguation dy -20cH1) (x+1)

A:

Q: Buien : 0 =y2 + xy A = yi t2j +(421x) k %3D %3D

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: (2^)u sec (VTt) 2V7t (a) y= tan dy: dt 5- v2 (b) y = 5 + v2 dy = -5- 2iv 5 -V-5-2iv5 %3D Need Help?…

A: Both the parts are given below.

Q: 2² dædydzB = {(æ, y, z) =E R° 0 < æ < 1,0 < y < 1,0 < : < x}

A: Given triple integral  ∭Bx2dxdydz, where B=x,y,z∈R3:0≤x≤1,0≤y≤1,0≤z≤x. We have to evaluate…

Q: dy e, solve the IVP = 40 dt 5y y(0) = 10. - %3D 100-4t cag

A:

Q: Solve Utt currrx = 0, -0 0, %3D u (x,0) = f (x), Ut (x,0) = 0, -0 < x < ∞ ||

A: Given that,utt+c2uxxxx=0-∞&lt;x&lt;∞t&gt;0ux, 0=fxutx, 0=0The pde is solved as shown below

Q: - Calculate the 2D 32×32 DFT of ƒ(r,y) = 26(r,y)+ 6(x – 15, y – 16).

A: The given function is f(x,y)=2δ(x,y)+δ(x-15,y-16) The 2D DFT signal is given by…

Q: O, x = 2, y = dy dz is

A:

Q: ( a) 2.xdV where E = {(x, y,z) |0 < y < 2, 0 <xs/4- y² ,0 < z< y } E

A: As per Bartleby's answering guidelines, we are supposed to answer one question if more than one has…

Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1) dy…

A: Using differentiation

Q: ,u = TX, X - 1 %3D %3D (Cosuz 4 dy

A: Differentiation using chain rule

Q: 1. Locate point D such that AD = BD 1+v5

A: There can be many ways to find the solution of this problem. But we are going to use the very basic…

Q: dv E={my,)|→<y<4Y<そく4, Osns? そ

A: Given that  Triple integral of z/(x^2+z^2) To evaluate the integral

Q: Use methed of Cardinates to Solve PDE du t 37gu = o (32² +81y -3y) for V 64) E R for Y te B with the…

A: We will use the approach of the method you mentioned.

Q: 4. Show that 4= 3y'z' i+4x²:* j+6x°y°k is solenoidal.

A:

Q: Find Particular Sol. of  xsin2 ycosy y' + sin3y/ 1+lnx = 4 ; y(e)= π/2

A: